Quadratic equation

High school (ages 12+)
Mathematics & Numbers

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Date:

Step 1 · Read the article

Open the article and read it at the level above. Then answer the questions below in your own words.

https://smallwhale.org/articles/quadratic-equation

Write what each word means, using the article.

Do not copy the article. Write two things you learned, the way you would explain them to a friend.

Answers below are taken from the article’s stored facts, so they match what the student read.

1. What is the general form?ax² + bx + c = 0, with a ≠ 0
2. What is the number of roots?Always has two roots in the complex number system, counting multiplicity
3. Why must the coefficient a be not equal to zero?If a were zero the equation would lose its squared term and become a simple linear equation, not a quadratic one.
4. How can we find the roots of a quadratic equation?The roots can be found by factoring, completing the square, or using the quadratic formula: x = [-b ± √(b² - 4ac)] / 2a.

Polynomial Equation: An equation involving variables raised to non-negative integer powers.
Complex Conjugates: Pairs of complex numbers of the form a + bi and a - bi.
Completing the Square: An algebraic technique to rewrite a quadratic expression into a perfect square form.